Solutions
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Question
In the figure above, what is the length of segment PQ ?
I. S is the midpoint of segment RT
II. Segment PT has length 10 and segment QT has length 6.
Option A:
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Option B:
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Option C:
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
Option D:
EACH statement ALONE is sufficient to answer the question asked.
Option E:
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Difficulty Level
EasySolution
Option B is the correct answer.
Option Analysis
Length of line segment PQ?
Statement I is insufficient: From this, we only infer that RS = ST. Nothing about PQ. So not sufficient.
Statement II is sufficient:
If PT = 10 and QT = 6
Then PQ = 4
Sufficient.